Tail asymptotics for exponential functionals of Lévy processes: the convolution equivalent case
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Publication:1930656
DOI10.1214/12-AIHP477zbMath1266.60086arXiv0905.2401MaRDI QIDQ1930656
Publication date: 11 January 2013
Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0905.2401
convolution equivalent distributionsexponential functionals of Levy processesfluctuation theory of Levy processes
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Cites Work
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- Law of the absorption time of some positive self-similar Markov processes
- Cramér's estimate for a reflected Lévy process
- Fluctuation theory and exit systems for positive self-similar Markov processes
- Infinite divisibility of solutions to some self-similar integro-differential equations and exponential functionals of Lévy processes
- Operator-selfdecomposable distributions as limit distributions of processes of Ornstein-Uhlenbeck type
- Extremal behavior of stochastic integrals driven by regularly varying Lévy processes
- Sinaǐ's condition for real valued Lévy processes
- Convolution equivalence and distributions of random sums
- Exponential functionals of Lévy processes
- Law of the exponential functional of one-sided Lévy processes and Asian options
- On the asymptotic behaviour of increasing self-similar Markov processes
- Comparing the tail of an infinitely divisible distribution with integrals of its Levy measure
- On a continuous analogue of the stochastic difference equation \(X_ n\) = rho X//(n-1) + \(B_ n\).
- Regular variation in the tail behaviour of solutions of random difference equations
- Cramér's estimate for Lévy processes
- Ruin probabilities and overshoots for general Lévy insurance risk processes
- Recurrent extensions of self-similar Markov processes and Cramér's condition. II
- Tail asymptotics for exponential functionals of Lévy processes
- Introductory lectures on fluctuations of Lévy processes with applications.
- Recurrent extensions of self-similar Markov processes and Cramér's condition
- Loss of mass in deterministic and random fragmentations.
- A law of iterated logarithm for increasing self-similar Markov processes
- Convolution equivalence and infinite divisibility
- Convolution Equivalence and Infinite Divisibility: Corrections and Corollaries
- On the future infimum of positive self-similar Markov processes
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